A woman who won't let any other female near a man's penis, whether it be her eyes or hands. In other words, it's a very possessing and controlling girl friend.

I'll be talking to my girlfriend on the phone and she'll hear some girl's voice and be like who the fuck is that? And I'll say it's someone on the TV and she won't believe me. My gf is such a cock hawk.

A mythical creature known for living almost solely on a diet of worms. The cock hawk normally makes her nest in bathroom stalls and in alleys behind nightclubs. She has become somewhat of a noctorious figure in Canadian folklore.